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Finding the Fourth Proportional to 50.06, 75.24 and 41.24

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Solution

The fourth proportional to 50.06, 75.24 and 41.24 is: 61.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.06 : 75.24 = 41.24 : x
  2. Step 2: Convert to fraction form
    50.06/75.24 = 41.24/x
  3. Step 3: Cross multiply
    50.06x = 75.24 × 41.24
  4. Step 4: Simplify right side
    50.06x = 3,102.52
  5. Step 5: Solve for x
    x = 3,102.52/50.06
  6. Step 6: Final answer
    x = 61.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.